Quantum dynamics with stochastic gauge simulations

Details Quantum dynamics with stochastic gauge simulations Quantum dynamics with stochastic gauge simulations

2003-09-23

arxiv.org/abs/cond-mat/0309514v1

J.Opt.B Quant.Semiclass.Opt. 5 (2003) 281-289

Physics

Condensed Matter

Soft Condensed Matter

21 pages, 4 figures

Scientific paper

10.1088/1464-4266/5/3/359

The general idea of a stochastic gauge representation is introduced and compared with more traditional phase-space expansions, like the Wigner expansion. Stochastic gauges can be used to obtain an infinite class of positive-definite stochastic time-evolution equations, equivalent to master equations, for many systems including quantum time-evolution. The method is illustrated with a variety of simple examples ranging from astrophysical molecular hydrogen production, through to the topical problem of Bose-Einstein condensation in an optical trap and the resulting quantum dynamics.

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